Reflexive disequilibrium is the failure of residuated sufficiency between distinct recognitions of the same cosmological field.
When two inference systems — such as early-universe (CMB-derived) and late-universe (distance-ladder) cosmological measurements — share a relational field but fail the residuation law, the result is a structural imbalance. The early-time recognition cannot reconstruct the late-time recognition through the shared field operations, and vice versa.
The residuated sufficiency gap g(z), evaluated as a function of redshift, serves as the order parameter:
- g(z) = 0: reflexive equilibrium — the inference systems are mutually entailing
- g(z) > 0: reflexive disequilibrium — residuation fails, and the systems make incompatible demands on the shared field
Applied to the Hubble tension, reflexive disequilibrium reinterprets the discrepancy between early- and late-time measurements of H₀ not as a measurement error or missing physics, but as a structural phase transition. The field passes from a closed phase (matter-dominated, where inference structures mutually entail) to an open phase (dark-energy-dominated, where residuation fails).
See Reflexive Disequilibrium and Cosmological Phase Change and Dynamic Sufficiency.